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SIGGRAPH2020勉強会 "VR Hardware"

yamdeck
August 15, 2020

SIGGRAPH2020勉強会 "VR Hardware"

yamdeck

August 15, 2020
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  1. • Ұ࣍ճં֯ ʢEճં֨ࢠϐονɼQϐΫηϧαΠζɼ ʣ ͭ·Γɼ4-.ͷϐΫηϧαΠζʹґଘͯ͠ճં͕ܾ֯·Γɼճં֯ʹґଘ ͯ͠'P7ʢ࠷େࢹ໺֯ʣ͕ܾఆ͞ΕΔ • &ZFCPY͸4-.ͷαΠζͱҰக • ݱঢ়ɼ੡඼ͱͯ͠ଘࡏ͢Δ4-.Ͱ࠷΋ղ૾౓͕ߴ͍ͷ͸ɼ)PMPFZF

    ("&"ʢղ૾౓ɿY<QJY>ɼϐΫηϧαΠζɿЖNʣ • ΋͠ɼԣ<QJY>ˍ'P7˃ ˠɹ&ZFCPYNNʢϐΫηϧαΠζЖNʣ • ΋͠ɼԣ<QJY>ˍ&ZFCPYNNʢϐΫηϧαΠζЖNʣ ˠɹ'P7˃ • ΋͠ɼ'P7˃ˍ&ZFCPYNN ˠɹԣ<QJY>ʢϐΫηϧαΠζЖNʣ • ୯ମ4-.ʹΑΔ޿͍'P7େ͖ͳ&ZFCPYͷཱ྆͸ඇݱ࣮తʢཁ޻෉ʣ λ = d sin(θ) d = 2p 4 1SJODJQMF ճં֯ɾ'P7ɾ&ZFCPY 1JYFMWBMVF 1JYFMWBMVF 1JYFMWBMVF
  2. 5 • ճં֯ʹ'P7͸ϐΫηϧαΠζʹґଘ͢ΔͨΊɼ޿͍'P7Λ࣮ݱ͢ΔͨΊʹ͸ϐΫηϧαΠζΛখ͘͢͞Δඞཁ͕͋Δ • ͔͠͠ͳ͕ΒɼϐΫηϧ਺ˍ'P7˃Λ࣮ݱ͢Δͱɼ֯౓෼ղೳ͸ BOHVMBSSFTPMVUJPO QJYTEFHSFF • ਓؒͷ؟ͷ֯౓෼ղೳ͸ɼࢹྗPSʢࢹྗʣͷ৔߹ɼQJYTEFHSFFͱݴΘΕΔ •

    ͭ·Γɼޫֶత੍໿͔Βա৒ͳղ૾౓Λ࣮ݱͤ͟ΔΛಘͳ͍ ˠղ૾౓Λଟগ٘ਜ਼ʹͯ͠΋࣮༻্໰୊ͳ͍ʂ ˠ4DBUUFSJOH.BTLʢ3BOEPN1IBTF.BTLʣΛ༻͍ͨ޿'P7ͷ࣮ݱ΁ʂʂ 1SJODJQMF ਓؒͷ؟ͷղ૾ྗ੍໿ ఏҊޫֶܥ
  3. 6 • 4-.Ґ૬ʴ4DBUUFSJOH.BTL 3BOEPN1IBTF.BTL ʹΑΔϗϩάϥϜͷ࠶ੜ૾͸ɼ   * Y ڧ౓෼෍BU*NBHF1MBOFɼT

    V DPNQMFYGJFMEBU4-.ɼN V NBTLQIBTFɼ'\ɾ^%ϑʔϦΤม׵ • 4DBUUFSJOH.BTL 3BOEPN1IBTF.BTL ͸ط஌Ͱ͋ΔͨΊɼޙ͸4-.ͰԿΛදࣔ͢Δ͔ͱ͍͏࿩ʹͳΔ    ද͍ࣔͨ͠໨తͷը૾ɼQJ4-.Ͱදࣔ͢ΔҐ૬ ͜ͷܭࢉ͔ΒͰ΋4-.Ͱදࣔ͢ΔҐ૬͸ܭࢉͰ͖Δ͕ɼෆे෼ʢӈը૾ ࠨ ʣ I( ⃗ x ) = |F{ s( ⃗ u )m( ⃗ u ) }|2 ̂ s( ⃗ u ) = F−1{ ̂ y( ⃗ x )}m*( ⃗ u ) pi = arg (∫ δi F−1{ ̂ y( ⃗ x )}m*( ⃗ u )d ⃗ u ) ̂ y( ⃗ x ) 1SPQPTFE.FUIPE දࣔ͢ΔҐ૬ͷ࠷దԽ໰୊ ࠷దԽ݁Ռͱͷൺֱ
  4. 7 • ࠷దԽ໰୊Λղ͘͜ͱͰɼྑ͍࠶ੜ૾ΛಘΔ   • ͳ͓ɼ4-.ͷϐΫηϧαΠζ͸4DBUUFSJOH.BTL 3BOEPN1IBTF.BTL ͷϐοναΠζʹൺ΂ͯେ͖͍ͷͰɼҎԼͷMPTTGVODUJPOͰ͸໨ඪग़ ྗʹ·ͰࢸΒͳ͍

     • ͦ͜Ͱप೾਺੍໿੍͔ۭؒ໿ΛՃ͑ͨMPTTGVODUJPOͰ࠷దԽΛߦ͏ʢ'*45"Λར༻ʣ प೾਺੍໿ɿɹ  ੍ۭؒ໿ɿɹ  • ʢ.VMUJQMF'PDBM1MBOFT΁ͷ֦ுͷ࿩΋ׂ͕͋ͬͨѪʣ ̂ p = arg (arg min ⃗ s L(I( ⃗ x , ̂ I( ⃗ x )))) subject to | ⃗ s | = ⃗ 1 L (I( ⃗ x ), ̂ I( ⃗ x )) = 1 2 ∑ ⃗ x (I( ⃗ x ) − ̂ I( ⃗ x )) 2 L (I( ⃗ x ), ̂ I( ⃗ x )) = 1 2 ∑ ⃗ x (cf ( ⃗ u ) F{I( ⃗ x ) − ̂ I( ⃗ x )}) 2 L (I( ⃗ x ), ̂ I( ⃗ x )) = 1 2 ∑ ⃗ x (cs ( ⃗ x ) F−1 {cf ( ⃗ u′ ) F{I( ⃗ x ) − ̂ I( ⃗ x )}}) 2 1SPQPTFE.FUIPE දࣔ͢ΔҐ૬ͷ࠷దԽ໰୊ ࠷దԽͷཧղ͕ෆे෼Ͱɼ࠷దԽʹؔ͢Δे෼ͳઆ໌͕Ͱ͖ͣ͢Έ·ͤΜ ΋͠ࢀߟʹͳΔࢿྉ΍࠷దԽΛֶͿ্ͰͷΦεεϝ͕͋Ε͹ڭ͑ͯཉ͍͠Ͱ͢
  5. 10 • ΑΓྑ͍ϦβϧτΛಘΔͨΊʹߟ͑ΒΕΔख๏ • Ґ૬ͷΈ͔Βෳૉৼ෯΁ͷҠߦ • த৺ᜰϨϯμϦϯάͷ࠾༻ ʢݻఆPSΞΠτϥοΧʔʣ • γϛϡϨʔγϣϯʹൺ΂࣮ͯࡍͷϦβϧτ͕ϊ

    Πζ͋Γ • 4DBUUFSJOH.BTLͷϐοναΠζ͕ඇৗʹ ࡉ͔͍ͨΊɼΞϥΠϝϯτ͕ࠔ೉ • ϚεΫࣗମͷ࿪Έ͕ൃੜ • /FBS&ZF%JTQMBZͱͯ͠ͷখܕԽʹ͍ͭͯ %JTDVTTJPO ͏·͍͍ͬͯ͘ͳ͍఺΍վળ఺ʹ͍ͭͯ ΑΓྑ͍Ϧβϧτʹ޲͚ͯ ࿪ΈͷγϛϡϨʔγϣϯ খܕԽͷख๏
  6. 12 • ബܕϨϯζΛ1BODBLF-FOTͱݺΜͩΓ͢Δ͕ɼӈਤͷΑ͏ʹബܕޫֶ ૉࢠΛฒ΂ͨ1BODBLF0QUJDTͱݺ͹ΕΔ΋ͷ΋͋Δ • /FBS&ZF%JTQMBZʹ׆༻͞ΕΔ1BODBLF0QUJDT͸ɼภޫ൘ʹΑΔภޫಛ ੑʹΑͬͯ൓ࣹΛ܁Γฦ͢ޫֶܥͱ͢Δ͜ͱͰɼޫ࿏௕Λ֬อ͢Δϝ Ϧοτ͕ଘࡏ͢Δ • DJSDVMBSQPMBSJ[FSͰԁภޫˠ̍౓໨ͷ೾௕൘Ͱ௚ઢภޫʹ

    ʢ˞SFGMFDUJWFQPMBSJ[FSͰ൓ࣹʣˠ̎ɾ̏౓໨ͷ೾௕൘Ͱภޫ Λ౓ม͑ΔˠSFGMFDUJWFQPMBSJ[FSΛ௨ա • ·ͨɼ/FBS&ZF%JTQMBZͷྫ͔Β΋Θ͔ΔΑ͏ʹɼ޿͍'P7ͷ࣮ݱʹ͓ ͍ͯ΋༗༻ͳηοτΞοϓͱͳΓಘΔ #BDLHSPVOE 1BODBLF0QUJDT GPS/FBS&ZF%JTQMBZ
  7. 20 • νϧτγϑτΛՃ͑Δ͜ͱͰϨϯζͷ։ޱʹΑΔ WJHOFUUJOH ޱܘ৯ Λආ͚ΒΕΔ ӈਤC  ˞ຊ࿦จͰ͸ະ࢖༻ 4-.ͷ੍໿ΑΓ

     • جຊํ਑͸ɼPDDMVTJPOྖҬ͔ΒϐΫηϧͷMJHIUDPOFΛ ग़͢͜ͱ ӈਤB  • ͦͷͨΊʹɼ Λ·ͣٻΊͯ ϕΫτϧΛܭࢉ͠ ্ͨͰ ΛٻΊΔ • ͜ͷࡍʹඞཁͳνϧτ֯Λ4-.Ͱදࣔ͢Δ • 4-.Ͱදࣔ͢ΔҐ૬෼෍͸࠷దԽ໰୊Λղ͘͜ͱ Ͱಋग़ x′ ′ o x′ ′ c − x′ ′ o ̂ x′ ′ c 1SJODJQMF νϧτγϑτʹΑΔޫֶతมԽ DPOFUJMUͷશମํ਑ UJMUʹΑΔWJHOFUUJOHճආʹ͍ͭͯ ޫֶతʹॏཁͳཁૉͷ֓೦ਤ
  8. 24 )FBE#MBTUFS"XFBSBCMFBQQSPBDIUPTJNVMBUJOHNPUJPO QFSDFQUJPOVTJOHIFBENPVOUFEBJSQSPQVMTJPOKFUT 4IJ)POH-JV 1BJ$IJFO:FO :J)TVBO.BP :V)TJO-JO &SJDL$IBOESB  .JLF:$IFO

    /BUJPOBM5BJXBO6OJWFSTJUZ 1BQFS*OGPSNBUJPO ˞ࢿྉ࡞੒ஈ֊Ͱ࿦จ1%'͕ݟ౰ͨΒͳ͔ͬͨͨΊɼ΋ͷ͘͢͝ࡶͳ঺հͷΈʹͳΓ·͢